You’re a great candidate but I see not a single safety or likely on your list. Northeastern would be a likely if you ED there but not otherwise. And you know the UCs won’t consider your 35. Why not other UCs potentially with an Econ minor, ones easier to get into…as matches, etc.
Not every school will have a dual option or a realistic 4-year path anyway. And if your desire to get in on the business side of engineering, it’s not necessarily needed. An IE type internship could morph into a second internship on the business side. Example - my son is an Mechanical major. Last summer he worked in an auto plant but on process improvement. He expressed interest in planning and other jobs for next summer that have a financial analysis component. While he has a plant offer from the company for next summer, they’re giving him opportunity to interview for two business type tech related jobs at HQ vs a plant b4 giving a decision on the plant role. In general I believe an engineering degree opens options, even outside of engineering.
Some schools have a fast path to mba. The one I’ve read most about is Alabama which has a unique program - STEM to MBA. You’d get a ton of merit there and maybe could complete both in 4 years.
I don’t recommend it because to me, you need a few years work experience prior to business school in order to maximize your learning and financial return. But the program has a good rep nationally.
Good luck.